Title: Mandelbulb 2; interesting results at power 2 Post by: TedWalther on November 25, 2009, 01:01:42 AM The mandelbulb is based on doing the following: x = [1,0,0] y = [0,1,0] z = [0,0,1] Take a 3d vector Z rotate Z around z axis rotate Z around x axis double magnitude of Z add a constant vector C Mandelbulb2 is the same, but with one difference. After the vector is rotated around the x axis, then also rotate the z axis by the same amount so that z, Z, and x are always in the same plane. This way, a fresh new z axis is used in every iteration. The z axis will always be in the zy plane. This produces the mandelbrot set for all Z,C pairs that are in the xy plane. I believe this is the missing refinement to get a true 3d mandelbrot set. I don't have time or resources to program it and visualize it. Ted |